Nonlinear Analysis of Structures presents a complete evaluation of the nonlinear static and dynamic behavior of beams, rods, plates, trusses, frames, mechanisms, stiffened structures, sandwich plates, and shells. These elements are important components in a wide variety of structures and vehicles such as spacecraft and missiles, underwater vessels and structures, and modern housing. Today's engineers and designers must understand these elements and their behavior when they are subjected to various types of loads.
Coverage includes the various types of nonlinearities, stress-strain relations and the development of nonlinear governing equations derived from nonlinear elastic theory. This complete guide includes both mathematical treatment and real-world applications, with a wealth of problems and examples to support the text. Special topics include a useful and informative chapter on nonlinear analysis of composite structures, and another on recent developments in symbolic computation.
Muthukrishnan Sathyamoorthy (Clarkson University)
Country of Publication:
Series: CRC Press Revivals
28 January 2019
Professional and scholarly
Nonlinear Bending and Vibration of Beams Introduction Types of Nonlinearities Nonlinear Governing Equations for Beams Methods of Solution Geometrically Nonlinear Beam Problems Vibration of Beams with Various Boundary Conditions Forced Vibrations of Beams Postbuckling-Cantilever Columns Behavior of Beams with Material Nonlinearity Nonlinear Static and Dynamic Analysis of Plates Introduction Geometric and Material Nonlinearities Governing Nonlinear Equations for Plates Boundary Conditions and Methods of Solution Large Deflections of Rectangular Plates Large Deflection Analysis of Nonrectangular Plates Free and Forced Vibration of Rectangular Plates Free and Forced Vibration of Nonrectangular Plates Multiple Mode Solution to Free Vibration of Plates Postbuckling Behavior of Plates Effects of Transverse Shear Deformation and Material Nonlinearity Nonlinear Analysis of Shells Introduction Derivation of Governing Equations Circular Cylindrical Shells Shallow Spherical Shells: Large Deflections Noncircular Cylindrical Shells Forced Nonlinear Vibration of Shells Postbuckling of Shells Postbuckling and Large Amplitude Vibration - A Similarity General Conclusions on Large Amplitude Vibrations Structures: Nonlinear Analysis Introduction Curved Beams Trusses Frames Mechanisms Stiffened Structures Sandwich Plates Finite Element Method Nonlinear Analysis of Structures Composed of Composite Materials Introduction Composite Beams - Large Deflections Nonlinear Vibrations Postbuckling Behavior Composite Plates - Governing Equations Laminated Plates - Cylindrical Bending Laminated Plates - Large Amplitude Vibration Postbuckling Shells - Large Amplitude Vibration Postbuckling of Shells Symbolic Computation Introduction Examples of Linear Problems Statically Indeterminate Beams Using MACSYMA Truss Problem Using MACSYMA Beam Problems Using MAPLE Vibration of Beams Using MAPLE Vibration of Plates Using MAPLE Rayleigh's Methods Using MAPLE Rayleigh-Ritz Method Using MAPLE Structural Analysis of Box Beams Dynamic Analysis of Box Beams Nonlinear Problems Nonlinear Vibration of Beams Books and Edited Volumes Index
Professor Muthukrishnan Sathyamoorthy is Associate Dean and Professor and Interim Chair Department: Department of Mechanical Engineering at University of Texas, Tyler.